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Question:
Taken at face value, the codomain of the twisted equivaraint Chern character according to Mathai & Stevenson 2003 looks different from that of (all ?) other authors:
The former take it to be the Weil-model equivariant de Rham complex twisted by a closed degree-3 element in the evident way,
the other authors consider flat-line bundle-twisted de Rham cohomology on the inertia orbifold further twisted by the 3-form.
Probably these two codomains are quasi-isomorphic? But it doesnâ€™t seem to be obvious. Is this discussed anywhere?
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